LCM of 251, 136, 408, 813, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 136, 408, 813, 468 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 251, 136, 408, 813, 468. So, keep reading to learn more.
Given numbers are 251,136,408,813,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,136,408,813,468 is 1082350152.
Find LCM of 251,136,408,813,468 with Prime Factorization
| 2 | 251, 136, 408, 813, 468 |
| 2 | 251, 68, 204, 813, 234 |
| 2 | 251, 34, 102, 813, 117 |
| 3 | 251, 17, 51, 813, 117 |
| 17 | 251, 17, 17, 271, 39 |
| 251, 1, 1, 271, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 251 x 1 x 1 x 271 x 39 = 1082350152
Therefore, the lowest common multiple of 251,136,408,813,468 is 1082350152.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
251 x 136 x 408 x 813 x 468 = 5299186344192
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
251 : 1, 251
136 : 1, 2, 4, 8, 17, 34, 68, 136
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
813 : 1, 3, 271, 813
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,136,408,813,468, is 1.
Now, the common factors can be found like this.
251:251
136:2x 2x 2x 17
408:2x 2x 2x 3x 17
813:3x 271
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5299186344192/(1x4896)
LCM = 5299186344192/4896
LCM = 1082350152
Thus, we can understand that the LCM of 251,136,408,813,468 is 1082350152.
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FAQs on LCM of 251, 136, 408, 813, 468
1. What is the LCM of 251, 136, 408, 813, 468?
Answer: LCM of 251, 136, 408, 813, 468 is 1082350152.
2. How to calculate the LCM of 251, 136, 408, 813, 468?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 251, 136, 408, 813, 468.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.